半线性发展脉冲微分方程解的存在性

Existence of the Solutions of Semilinear Evolution Impulsive Differential Equations

利用线性算子的半群理论和Schauder不动点定理,在一定条件下获得了抽象空间中半线性发展脉冲微分方程解的存在性,得到了抽象空间中半线性发展脉冲微分方程解存在的一个充分条件,最后给出了该充分条件的具体应用实例.

By applying the theory of semigroup of linear operators and the Schauder＇s fixed point theorem, the existence of the solutions of semilinear evolution impulsive differential equations under the some conditions was obtained. A necessary condition for the solution existence was also found and an example was presented to show its usage.